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Finding the Fourth Proportional to 3,246.38, 4,866.65 and 1,165.90

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Solution

The fourth proportional to 3,246.38, 4,866.65 and 1,165.90 is: 1,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.38 : 4,866.65 = 1,165.90 : x
  2. Step 2: Convert to fraction form
    3,246.38/4,866.65 = 1,165.90/x
  3. Step 3: Cross multiply
    3,246.38x = 4,866.65 × 1,165.90
  4. Step 4: Simplify right side
    3,246.38x = 5,674,012.15
  5. Step 5: Solve for x
    x = 5,674,012.15/3,246.38
  6. Step 6: Final answer
    x = 1,747.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.